6533b836fe1ef96bd12a1193
RESEARCH PRODUCT
Regularity of the inverse of a Sobolev homeomorphism in space
Pekka KoskelaStanislav HenclJan Malýsubject
Sobolev spaceDistortion (mathematics)Lorentz spaceGeneral MathematicsMathematical analysisComputingMethodologies_DOCUMENTANDTEXTPROCESSINGBesov spaceInterpolation spaceSpace (mathematics)HomeomorphismMathematicsSobolev inequalitydescription
Let Ω ⊂ Rn be open. Given a homeomorphism of finite distortion with |Df| in the Lorentz space Ln−1, 1 (Ω), we show that and f−1 has finite distortion. A class of counterexamples demonstrating sharpness of the results is constructed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-12-01 | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |